List questions from strong-convergence

Published on 04 Jan 2021 - 6:29

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Examples of $L^p \cap L^1$ convergence

Published on 08 Jan 2021 - 18:17

162

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weak and strong $L^p$ convergence

Published on 23 Jan 2021 - 18:47

91

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Weak convergence equivalent to weak convergence at $0$

Published on 28 Jan 2021 - 14:35

154

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Proving strong continuity of semigroup in $L^2(\mu)$ ($\mu$ invariant measure) from non-cadlag Markov process

Published on 10 Feb 2021 - 12:50

442

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Prove that the unit ball in $L^{p}([0,1]),$ where $1 \leq p \leq \infty,$ is not strongly compact.

Published on 18 Feb 2021 - 3:57

120

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Show that $\{P_n\}_{n \geq 1}$ does not converge in norm topology.

Published on 27 Feb 2021 - 20:11

110

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Strong convergence vs Weak convergence _ compactness of integral varifolds

Published on 02 Apr 2021 - 7:48

1.7k

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Weak convergence in $L^2$ implies strong convergence?

Published on 07 Apr 2021 - 1:27

28

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without weak convergence, can strong convergence be true?

Published on 08 Apr 2021 - 23:14

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How does the Glivenko-Cantelli theorem improve the stochastic convergence of the empirical distribution $F_n(x)$?

Published on 11 Apr 2021 - 10:35

252

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Show strong operator convergence

Published on 04 May 2021 - 14:13

574

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Prove that if $T_n \rightarrow T$ and $x_n \rightarrow x$ then $T_n x_n \rightarrow T x$

Published on 17 May 2021 - 15:52

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Using SLLN To Estimate A Probability

Published on 12 Aug 2021 - 1:45

46

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Is there a relation between weak-* convergence in $L^\infty((0,T); L^2(\Omega))$ and strong convergence in $L^2(\Omega)$ uniformly in $t$?

Published on 17 Sep 2021 - 11:55

List Question

Liminf of Pointwise Norms of a Weakly Convergent Sequence

Examples of $L^p \cap L^1$ convergence

weak and strong $L^p$ convergence

Weak convergence equivalent to weak convergence at $0$

Proving strong continuity of semigroup in $L^2(\mu)$ ($\mu$ invariant measure) from non-cadlag Markov process

Prove that the unit ball in $L^{p}([0,1]),$ where $1 \leq p \leq \infty,$ is not strongly compact.

Show that $\{P_n\}_{n \geq 1}$ does not converge in norm topology.

Strong convergence vs Weak convergence _ compactness of integral varifolds

Weak convergence in $L^2$ implies strong convergence?

without weak convergence, can strong convergence be true?

How does the Glivenko-Cantelli theorem improve the stochastic convergence of the empirical distribution $F_n(x)$?

Show strong operator convergence

Prove that if $T_n \rightarrow T$ and $x_n \rightarrow x$ then $T_n x_n \rightarrow T x$

Using SLLN To Estimate A Probability

Is there a relation between weak-* convergence in $L^\infty((0,T); L^2(\Omega))$ and strong convergence in $L^2(\Omega)$ uniformly in $t$?

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